An Evaluation of Error Variance Bias in Spatial Designs
- 293 Downloads
Spatial design and analysis are widely used, particularly in field experimentation. However, it is often the case that spatial analysis does not significantly enhance more traditional approaches such as row–column analysis. It is then of interest to gauge the degree of error variance bias that accrues when a spatially designed experiment is analysed as a row–column design. This paper uses uniformity data to study error variance bias in \(7\times 12\) spatial designs for 21 treatments.
KeywordsExperimental design Row–column design Latin square Spatial design Linear variance Average efficiency factor Randomization
We would like to thank two anonymous reviewers for their careful reading and constructive comments on an earlier version of this paper.
- Coombes, N. (2002), “The reactive Tabu search for efficient correlated experimental designs”, PhD thesis, Liverpool, U.K.: Liverpool John Moores University.Google Scholar
- ——– (1926), “The arrangement of field experiments”, Journal of the Ministry of Agriculture, 33, 503–513.Google Scholar
- Mead, R., Gilmour, S. G., and Mead, A. (2012), “Statistical Principles for the Design of Experiments”, Cambridge University Press.Google Scholar
- Muller, B. U., Kleinknecht, K., Mohring, J., and Piepho, H. P. (2010), “Comparison of spatial models for sugar beet and barley trials”, Crop Science, 50, 794–802.Google Scholar
- Papadakis, J. S. (1937), “Méthode statistique pour des expériences sur champ”, Bull.Inst. Amel. Plantes à Salonique, 23.Google Scholar
- Piepho, H. P., Mohring, J., Pflugfelder, M., Hermann, W., and Williams, E.R. (2015), “Problems in parameter estimation for power and AR(1) models of spatial correlation in designed field experiments”, Communications in Biometry and Crop Science, 10, 3–16.Google Scholar
- Speed, T. P. (1990), “Introduction to ‘The arrangement of field experiments‘ by R.A. Fisher”, Technical Report No. 253, Department of Statistics, University of California, Berkeley.Google Scholar
- Yates, F. (1933), “The formation of Latin squares for use in field experiments”, Empire Journal of Experimental Agriculture, 1, 235–244.Google Scholar